Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty

In this paper, we retrieve data about the frequent users of electronic commerce during the period 2011–2016 from the Spanish National Institute of Statistics. These data, coming from surveys, have intrinsic uncertainty that we describe using appropriate random variables. Then, we propose a stochasti...

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Autores:
Burgos, Clara
Cortés, Juan Carlos
Lombana, Iván Camilo
Martínez Rodríguez, David
Villanueva, Rafael Jacinto
Tipo de recurso:
Article of journal
Fecha de publicación:
2020
Institución:
Universidad Cooperativa de Colombia
Repositorio:
Repositorio UCC
Idioma:
OAI Identifier:
oai:repository.ucc.edu.co:20.500.12494/28358
Acceso en línea:
https://doi.org/10.1007/s10957-018-1382-6
https://hdl.handle.net/20.500.12494/28358
Palabra clave:
Inverse problem
Uncertainty quantification
Random optimization computational methods
Nonlinear stochastic model
Probability density function
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Summary:In this paper, we retrieve data about the frequent users of electronic commerce during the period 2011–2016 from the Spanish National Institute of Statistics. These data, coming from surveys, have intrinsic uncertainty that we describe using appropriate random variables. Then, we propose a stochastic model to study the dynamics of frequent users of electronic commerce. The goal of this paper is to solve the inverse problem that consists of determining the model parameters as suitable parametric random variables, in such a way the model output be capable of capturing the data uncertainty, at the time instants where sample data are available, via adequate probability density functions. To achieve the aforementioned goal, we propose a computational procedure that involves building a nonlinear objective function, based on statistical moment measures, to be minimized using a variation of the particle swarm optimization algorithm.